Name
Abstract | ||
|---|---|---|
We introduce a variant of the Renyi entropy definition that aligns it with the well-known Holder mean: in the new formulation, the r-th order Renyi Entropy is the logarithm of the inverse of the r-th order Holder mean. This brings about new insights into the relationship of the Renyi entropy to quantities close to it, like the information potential and the partition function of statistical mechanics. We also provide expressions that allow us to calculate the Renyi entropies from the Shannon cross-entropy and the escort probabilities. Finally, we discuss why shifting the Renyi entropy is fruitful in some applications. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.3390/e21010046 | ENTROPY |
Keywords | DocType | Volume |
shifted Renyi entropy,Shannon-type relations,generalized weighted means,Holder means,escort distributions | Journal | 21 |
Issue | ISSN | Citations |
1 | 1099-4300 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Francisco J. Valverde-Albacete | 1 | 116 | 20.84 |
| Carmen Peláez-moreno | 2 | 130 | 22.07 |